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Recent gravitational wave (GW) detections showing signatures of eccentricity and spin precession underscore the need to model binary black holes (BBHs) possessing these features simultaneously. Most efforts over the past fifteen years to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Tom Colin , Sashwat Tanay , Laura Bernard

The detection of GW150914 by ground based gravitational wave observatories has brought about a new era in astrophysics. At optimal sensitivity, these observatories are expected to detect several events each year, with one or two of these…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Nicolas Loutrel , Nicolas Yunes

We present simple procedures to construct quasi-circular initial data for numerical evolutions of binary black hole spacetimes. Our method consists of using Post-Newtonian theory in three ways: first to provide an initial guess for the…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Antoni Ramos-Buades , Sascha Husa , Geraint Pratten

The increasing sophistication and accuracy of numerical simulations of compact binaries (especially binary black holes) presents the opportunity to test the regime in which post-Newtonian (PN) predictions for the emitted gravitational waves…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lawrence E. Kidder

GW200105 is the first gravitational wave detection to show signs of eccentricity, it also is a neutron star - blackhole binary. This raises the need for waveforms that incorporate tidal effects on quasi-elliptic orbits. We tackle the…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Quentin Henry , Anna Heffernan

Mounting evidence indicates that some of the gravitational wave signals observed by the LIGO/Virgo/KAGRA observatories might arise from eccentric compact object binaries, increasing the urgency for accurate waveform models for such systems.…

We complete the computation of the gravitational waveform amplitude for non-spinning compact binaries to the third and a half post-Newtonian (PN) order in the quasi-circular case. This is done by performing a spin-weighted spherical…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Quentin Henry

We have introduced a new method for computing gravitational-wave emission from nonspinning binaries which systematically unifies the various integrals arising in the Fourier expansions of post-Newtonian dynamics, providing a simple,…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Xiaolin Liu , Zhoujian Cao

This article presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ilana MacDonald , Samaya Nissanke , Harald P. Pfeiffer

The post-Newtonian approximation is a method for solving Einstein's field equations for physical systems in which motions are slow compared to the speed of light and where gravitational fields are weak. Yet it has proven to be remarkably…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Clifford M. Will

The two-body dynamics in general relativity has been solved perturbatively using the post-Newtonian (PN) approximation. The evolution of the orbital phase and the emitted gravitational radiation are now known to a rather high order up to…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Alessandra Buonanno , Bala Iyer , Evan Ochsner , Yi Pan , B. S. Sathyaprakash

The generalized post-Keplerian parametrization for compact binaries on eccentric bound orbits is established at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories. This result is used to compute the…

General Relativity and Quantum Cosmology · Physics 2025-04-21 David Trestini

The order of the post-Newtonian expansion needed, to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiralling compact binaries, is explored. A class of approximate wave forms,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

I discuss the accuracy requirements on numerical relativity calculations of inspiraling compact object binaries whose extracted gravitational waveforms are to be used as templates for matched filtering signal extraction and physical…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Mark Miller

The angular momentum flux from an inspiralling binary system of compact objects moving in quasi-elliptical orbits is computed at the third post-Newtonian (3PN) order using the multipolar post-Minkowskian wave generation formalism. The 3PN…

General Relativity and Quantum Cosmology · Physics 2010-04-30 K. G. Arun , Luc Blanchet , Bala R. Iyer , Siddhartha Sinha

I present an analytical fit to the duration of the inspiral of two point masses driven by gravitational-wave emission. The fit is accurate to within 3% over the entire range of initial eccentricities from 0 to 0.99999.

High Energy Astrophysical Phenomena · Physics 2021-11-08 Ilya Mandel

This article studies sufficient accuracy criteria of hybrid post-Newtonian (PN) and numerical relativity (NR) waveforms for parameter estimation of strong binary black-hole sources in second- generation ground-based gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Ilana MacDonald , Abdul H. Mroue , Harald P. Pfeiffer , Michael Boyle , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi , Nicholas W. Taylor

The aim of this work is twofold: (i) to properly define a wave-generation formalism for compact-supported sources embedded in Einstein-Maxwell theory, relying on matched post-Newtonian and multipolar-post-Minkowskian expansions; (ii) to…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Quentin Henry , François Larrouturou , Christophe Le Poncin-Lafitte

We develop new high-order results for the post-Newtonian (PN) expansions of the energy and angular momentum fluxes at infinity for eccentric-orbit extreme-mass-ratio inspirals (EMRIs) on a Schwarzschild background. The series are derived…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Christopher Munna

Despite the recent rapid progress in numerical relativity, a convergence order less than the second has so far plagued codes solving the Einstein-Euler system of equations. We report simulations of the inspiral of binary neutron stars in…

General Relativity and Quantum Cosmology · Physics 2013-12-16 David Radice , Luciano Rezzolla , Filippo Galeazzi